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As X is positive, the rst arithmetic operation is a subtraction: R(0) 2 P(1). After n steps the integer square root of X and the remainder R are stored as X 1=2 Q( 1); R R(n): (14:47)

Authentication. Before two vehicles can exchange data, their identity and validity must be certi ed to avoid misuse and hacker attacks. Therefore, the authentication of vehicles will be a necessary part of a security architecture for VANETs. Authentication is usually performed with public key technology and digital certi cates. Since VANETs will most probably be deployed world-wide, the authentication process of vehicles will be similar to the authentication of credit cards or mobile phones. Registration authorities will need to implement a public key infrastructure (PKI). Also, each vehicle must be provided with a private/public key pair, a shared symmetric key, and a digital certi cate of its identity and public key. However, in VANETs, new problems arise. For example, some VANET applications have very stringent real-time requirements. One example is emergency warning systems. When a colliding vehicle transmits an emergency warning message, this message must be forwarded to all nodes in the ZOR rapidly. A time-consuming authentication scheme is at odds with the real-time requirements of this application.

#include <iostream> int main() { // objects of type int int value = 2; int pow = 10; cout value " raised to the power of "

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pow ": \t"; int res = 1; // holds result // loop control statement: repeat calculation of res // until cnt is greater than pow for ( int cnt=1; cnt <= pow; ++cnt) res = res * value; cout res endl; }

value, pow, res, and cnt are variables that allow for the storage, modification, and retrieval of values The for loop allows for the repeated execution of our calculation until it's been executed pow times Although this level of generalization makes for a more flexible program, it is not yet a reusable program A further level of generalization is necessary: to factor out the portion of the program that computes the exponential value and define it as a stand-alone function that others can invoke For example:

int pow( int val, int exp ) { for ( int res = 1; exp > 0; --exp ) res = res * val; return res; }

Privacy The privacy issue in a VANET will be an obstacle that must be solved before VANETs can be socially accepted in the community The fact that a vehicle may be tracked by authorities may not be harder to get accepted than the possible tracking of mobile phones However, since VANET applications require vehicle-tovehicle communication, the privacy issues will also include the possibility that drivers may obtain detailed location and identity information about other drivers Therefore, one important part of a security architectures for VANETs will be development of privacy-preserving protocols These protocols could be based on an anonymity scheme, relying on temporary pseudonyms [19] Only authorities should be able to translate a vehicle s pseudonym to its real identity Location Veri cation All vehicles participating in a VANET are assumed to get their exact location from GPS.

Now, each of our programs that requires computing an exponential value can use this instance of pow() rather than reimplement it Generating a table of the powers of 2 can be done as follows:

#include <iostream> extern int pow(int,int); int main() { int val = 2; int exp = 15; cout "The Powers of 2\n"; for ( int cnt=0; cnt <= exp; ++cnt ) cout cnt ": " pow(val,cnt) endl; return 0; }

In practice, our implementation of pow() is neither robust nor general enough What if the exponent is negative, for example, or if it is 1,000,000 For a negative exponent, our function always returns 1 For a very large exponent, our int res variable is too small to hold the resulting value Instead, an arbitrary and incorrect value is returned for a very large exponent (The best solution in this case is to modify our implementation to return a value of type double) In terms of generality, our function should be able to handle integer and floating point values and exponents, and so on As you can see, writing a robust and general function for an unknown set of users is much more complicated than implementing a specific algorithm to meet our own immediate needs (To see a real-world implementation of pow(), see [PLAUGER92])

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